137810400320 has 28 divisors (see below), whose sum is σ = 328161016524. Its totient is φ = 55124160000.

The previous prime is 137810400307. The next prime is 137810400361. The reversal of 137810400320 is 23004018731.

137810400320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 62304153664 + 75506246656 = 249608^2 + 274784^2 .

It is a super-2 number, since 2×137810400320² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 215328431 + ... + 215329070.

Almost surely, 2^137810400320 is an apocalyptic number.

137810400320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137810400320 is an abundant number, since it is smaller than the sum of its proper divisors (190350616204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137810400320 is an equidigital number, since it uses as much as digits as its factorization.

137810400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430657518 (or 430657508 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The spelling of 137810400320 in words is "one hundred thirty-seven billion, eight hundred ten million, four hundred thousand, three hundred twenty".